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468219444 = 223711506731
BaseRepresentation
bin11011111010000…
…111011000110100
31012122001000022220
4123322013120310
51424331010234
6114243322340
714413541160
oct3372073064
91178030286
10468219444
11220330220
121109803b0
1376008834
1446281ca0
152b18ba49
hex1be87634

468219444 has 48 divisors (see below), whose sum is σ = 1362095616. Its totient is φ = 121615200.

The previous prime is 468219439. The next prime is 468219463. The reversal of 468219444 is 444912864.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 468219396 and 468219405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252442 + ... + 254289.

It is an arithmetic number, because the mean of its divisors is an integer number (28376992).

Almost surely, 2468219444 is an apocalyptic number.

468219444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468219444 is an abundant number, since it is smaller than the sum of its proper divisors (893876172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468219444 is a wasteful number, since it uses less digits than its factorization.

468219444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506756 (or 506754 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 468219444 is about 21638.3789596171. The cubic root of 468219444 is about 776.5149383610.

It can be divided in two parts, 46821 and 9444, that added together give a palindrome (56265).

The spelling of 468219444 in words is "four hundred sixty-eight million, two hundred nineteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 506731 1013462 1520193 2026924 3040386 3547117 5574041 6080772 7094234 10641351 11148082 14188468 16722123 21282702 22296164 33444246 39018287 42565404 66888492 78036574 117054861 156073148 234109722 468219444